Solve 27/x=78/5/27

$$\frac { 27 } { x } = \frac { \frac { 78 } { 5 } } { 27 }$$

Solve for x

$$x = \frac{1215}{26} = 46\frac{19}{26} \approx 46.730769231$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 27x, the least common multiple of x,27.

$$27\times 27=x\times \frac{78}{5}$$

Multiply 27 and 27 to get 729.

$$729=x\times \frac{78}{5}$$

Swap sides so that all variable terms are on the left hand side.

$$x\times \frac{78}{5}=729$$

Multiply both sides by \frac{5}{78}, the reciprocal of \frac{78}{5}.

$$x=729\times \frac{5}{78}$$

Express 729\times \frac{5}{78} as a single fraction.

$$x=\frac{729\times 5}{78}$$

Multiply 729 and 5 to get 3645.

$$x=\frac{3645}{78}$$

Reduce the fraction \frac{3645}{78} to lowest terms by extracting and canceling out 3.

$$x=\frac{1215}{26}$$